✦ LIBER ✦

A Markov Chain Model of Population Growth with an Application in Epidemiology

✍ Scribed by Professor C. Lefevre

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 455 KB
Volume: 30
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710300207

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✦ Synopsis

This paper is concerned with a class of population growth procesees in discrete time; the simple epidemic process is considered as a specific example. A Markov chain model is constructed and standard Markov methods are used to study the main biological concepts. A simple and explicit formula is obtained for the transient distribution of the population size. Then, the cost of the process i s defined and the joint probability generating function of its components is derived. Finally, the resulta are extended to the case where the inter-transition periods are bounded i.i.d. random variables.

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